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Matematicheskie Zametki, 1973, Volume 13, Issue 4, Pages 587–596 (Mi mzm7160)  
This article is cited in 3 scientific papers (total in 3 papers)

Functions harmonic for a Markov process

M. G. Shur

Moscow Institute for Electronic Machine Construction
Full-text PDF (789 kB) Citations (3)
Abstract: The compactness property of a family of functions harmonic for a Markov process is studied and, in particular, an inequality of Harnack type is derived. It is shown that under broad conditions the property that a function be locally harmonic implies that it is harmonic.
Received: 09.08.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 4, Pages 355–359
DOI: https://doi.org/10.1007/BF01146575
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: M. G. Shur, “Functions harmonic for a Markov process”, Mat. Zametki, 13:4 (1973), 587–596; Math. Notes, 13:4 (1973), 355–359
Citation in format AMSBIB
\Bibitem{Shu73}
\by M.~G.~Shur
\paper Functions harmonic for a~Markov process
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 4
\pages 587--596
\mathnet{http://mi.mathnet.ru/mzm7160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=345221}
\zmath{https://zbmath.org/?q=an:0285.60062}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 4
\pages 355--359
\crossref{https://doi.org/10.1007/BF01146575}
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  • https://www.mathnet.ru/eng/mzm7160
  • https://www.mathnet.ru/eng/mzm/v13/i4/p587
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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